Add to ORKGInternational audienceWe determine for which known finite simple groups $G$ and which primes $p$ the $p$-fusion system of $G$ is simple. This means first collecting together the results that were already known (and correcting two errors made in an earlier study of this question), and then handling the remaining cases. At the same time, we develop some new tools to use when determining $O^{p'}(\mathcal{F})$ for arbitrary saturated fusion systems
A saturated fusion system over a finite $p$-group $S$ is a category whose objects are the subgroups ...
A saturated fusion system over a finite $p$-group $S$ is a category whose objects are the subgroups ...
A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, who...
We determine for which known finite simple groups $G$ and which primes $p$ the $p$-fusion system of ...
International audienceLet $p$ be an odd prime, and let $S$ be a $p$-group with a unique elementary a...
Let p be an odd prime, and let S be a p-group with a unique elementary abelian subgroup A of index p...
Let p be an odd prime, and let S be a p-group with a unique elementary abelian subgroup A of index p...
This memoir begins a program to classify a large subclass of the class of simple saturated 2-fusion ...
Let p be a prime and let F be a saturated fusion system over a finite p-group P. A fusion system F i...
For S a Sylow p-subgroup of the group G2 (p) for p odd, up to isomorphism of fusion systems, we dete...
For S a Sylow p-subgroup of the group G2 (p) for p odd, up to isomorphism of fusion systems, we dete...
Let p be a prime and let F be a saturated fusion system over a finite p-group P. A fusion system F i...
A p-local finite group (S,F,L) is a triple, where S is a finite p-group and F and L are categories w...
AbstractWe associate an iterated amalgam of finite groups to a certain class of fusion systems on fi...
Abstract. We develop methods for listing, for a given 2-group S, all nonconstrained centerfree satur...
A saturated fusion system over a finite $p$-group $S$ is a category whose objects are the subgroups ...
A saturated fusion system over a finite $p$-group $S$ is a category whose objects are the subgroups ...
A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, who...
We determine for which known finite simple groups $G$ and which primes $p$ the $p$-fusion system of ...
International audienceLet $p$ be an odd prime, and let $S$ be a $p$-group with a unique elementary a...
Let p be an odd prime, and let S be a p-group with a unique elementary abelian subgroup A of index p...
Let p be an odd prime, and let S be a p-group with a unique elementary abelian subgroup A of index p...
This memoir begins a program to classify a large subclass of the class of simple saturated 2-fusion ...
Let p be a prime and let F be a saturated fusion system over a finite p-group P. A fusion system F i...
For S a Sylow p-subgroup of the group G2 (p) for p odd, up to isomorphism of fusion systems, we dete...
For S a Sylow p-subgroup of the group G2 (p) for p odd, up to isomorphism of fusion systems, we dete...
Let p be a prime and let F be a saturated fusion system over a finite p-group P. A fusion system F i...
A p-local finite group (S,F,L) is a triple, where S is a finite p-group and F and L are categories w...
AbstractWe associate an iterated amalgam of finite groups to a certain class of fusion systems on fi...
Abstract. We develop methods for listing, for a given 2-group S, all nonconstrained centerfree satur...
A saturated fusion system over a finite $p$-group $S$ is a category whose objects are the subgroups ...
A saturated fusion system over a finite $p$-group $S$ is a category whose objects are the subgroups ...
A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, who...